Trigonometry
Trigonometric Identities
jee_main_2026_april_5_shift_1
Grade 12
Question:
If cos θ = 5/13 and θ is acute, find tan θ.
Step-by-Step Solution
Key Concept: Use sin² θ + cos² θ = 1.
Step 1: sin² θ = 1 - (5/13)² = 1 - 25/169 = 144/169 => sin θ = 12/13. Step 2: tan θ = sin θ/cos θ = (12/13)/(5/13) = 12/5.
Correct Answer: 12/5
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